document.write( "Question 1136465: Peter is talking to Simon: “when I was your age, my age is double your age. When you are my age, both our ages will add up to 63.” What is the current age of Peter and Simon? \n" ); document.write( "

Algebra.Com's Answer #754228 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
I'll assume Peter is older
\n" ); document.write( "The difference in their ages never changes
\n" ); document.write( "I'll start at the end
\n" ); document.write( "(1) $\"+p+-+s+=+k+\"$ is constant
\n" ); document.write( "When Simon's age is $\"+p+\"$ , then Peter is $\"+p+%2B+k+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+p+%2B+p+%2B+k+=+63+\"$
\n" ); document.write( "-------------------------------
\n" ); document.write( "When Peter's age was $\"+s+\"$ , Simon was $\"+s+-+k+\"$
\n" ); document.write( "(3) $\"+s+=+2%2A%28+s+-+k+%29+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "(2) $\"+2p+%2B+k+=+63+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+s+=+2s+-+2k+\"$
\n" ); document.write( "(3) $\"+s+=+2k+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+p+-+2k+=+k+\"$
\n" ); document.write( "(1) $\"+p+=+3k+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "(2) $\"+2p+%2B+k+=+63+\"$
\n" ); document.write( "(2) $\"+2%2A3k+%2B+k+=+63+\"$
\n" ); document.write( "(2) $\"+7k+=+63+\"$
\n" ); document.write( "(2) $\"+k+=+9+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "(3) $\"+s+=+2k+\"$
\n" ); document.write( "(3) $\"+s+=+18+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+p+=+3k+\"$
\n" ); document.write( "(1) $\"+p+=+27+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Peter is 27
\n" ); document.write( "Simon is 18
\n" ); document.write( "---------------------
\n" ); document.write( "Check:
\n" ); document.write( "When Peter was Simon's age, 18 yrs, Simon was $\"+18+-9+=+9+\"$
\n" ); document.write( "Peter was twice Simon's age -OK
\n" ); document.write( "-------------------------------------
\n" ); document.write( "When Simon is 27, Peter will be $\"+27+%2B+9+=+36+\"$ and
\n" ); document.write( " $\"+27+%2B+36+=+63+\"$
\n" ); document.write( "OK\r
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